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Finding the Fourth Proportional to 7,877.11, 10,870 and 4,340.24

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Solution

The fourth proportional to 7,877.11, 10,870 and 4,340.24 is: 5,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.11 : 10,870 = 4,340.24 : x
  2. Step 2: Convert to fraction form
    7,877.11/10,870 = 4,340.24/x
  3. Step 3: Cross multiply
    7,877.11x = 10,870 × 4,340.24
  4. Step 4: Simplify right side
    7,877.11x = 47,178,408.80
  5. Step 5: Solve for x
    x = 47,178,408.80/7,877.11
  6. Step 6: Final answer
    x = 5,989.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.